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Finding the Fourth Proportional to 4,757.40, 7,130.70 and 2,154.87

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Solution

The fourth proportional to 4,757.40, 7,130.70 and 2,154.87 is: 3,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.40 : 7,130.70 = 2,154.87 : x
  2. Step 2: Convert to fraction form
    4,757.40/7,130.70 = 2,154.87/x
  3. Step 3: Cross multiply
    4,757.40x = 7,130.70 × 2,154.87
  4. Step 4: Simplify right side
    4,757.40x = 15,365,731.51
  5. Step 5: Solve for x
    x = 15,365,731.51/4,757.40
  6. Step 6: Final answer
    x = 3,229.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.